NS MATHS 6TH EM
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NCERT Solutions for Class 6 Maths

 NCERT Solutions for Class 6 Maths are given below for all chapters.

NCERT Solutions for Class 6 Maths Chapter 1 Knowing Our Numbers

NCERT Solutions for Class 6 Maths Chapter 2 Whole Numbers

NCERT Solutions for Class 6 Maths Chapter 3 Playing With Numbers

NCERT Solutions for Class 6 Maths Chapter 4 Basic Geometrical Ideas

NCERT Solutions for Class 6 Maths Chapter 5 Understanding Elementary Shape

Class 6 Maths NCERT Solutions Chapter 6 Integers

Class 6 Maths NCERT Solutions Chapter 7 Fractions

Class 6 Maths NCERT Solutions Chapter 8 Decimals

Class 6 Maths NCERT Solutions Chapter 9 Data Handling

Class 6 Maths NCERT Solutions Chapter 10 Mensuration

Class 6 Maths NCERT Solutions Chapter 11 Algebra

Class 6 Maths NCERT Solutions Chapter 12 Ratio and Proportion

Class 6 Maths NCERT Solutions Chapter 13 Symmetry

Class 6 Maths NCERT Solutions Chapter 14 Practical Geometry


NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry

 

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.1






NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.1

Exercise 14.1

Ex 14.1 Class 6 Maths Question 1.
Draw a circle of radius 3.2 cm.
Solution:
Step I : Mark a point O as a centre.
Step II: Open the compass up to the given radius 3.2 cm.
NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry
Step III : Put the needle of the compass at the centre O.
Step IV : Holding the top of the compass take one full round with pencil. The figure thus obtained is the required circle of radius 3.2 cm.

Ex 14.1 Class 6 Maths Question 2.
With the same centre O, Draw two circles of radius 4 cm and 2.5 cm.
Solution:
Step I : Take centre O and open the compass up to 4 cm.
NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry
Step II : Draw a circle keeping the needle fixed at O.
Step III : Take the same centre O and open the compass up to 2.5 cm, and draw another circle.
The figure shows the required two circles with the same centre.

Ex 14.1 Class 6 Maths Question 3.
Draw a circle and any two its diameters. If you join the ends of these diameters, what is the figure obtained? What figure is obtained if the diameters are perpendicular to each other? How do you check your answer?
Solution:
NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry
(i) Draw a circle with centre 0 with suitable radius.
(ii) AB and CD are any two diameters.
(iii) On joining the end points of the diameters, we get a quadrilateral ACBD.
(iv) We note that OA = OB = OC = OD [Same radius]
and AC = DB, AD = BC
∠A = ∠C = ∠B = ∠D = 90°
Thus ACBD is a rectangle.
Again if the diameters are perpendicular to each other then on measuring, we get
AC = DB = AD = BC
Thus, ACBD is a square.
NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry

Ex 14.1 Class 6 Maths Question 4.
Draw any circle and mark points A, B and C such that
(a) A is on the circle
(b) B is in the interior of the circle
(c) C is in the exterior of the circle.
Solution:
Draw a circle with centre 0 and a suitable radius.
Here
(a) A is on the circle.
(b) B is in the interior of the circle.
(c) C is in the exterior of the circle.
NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry

Ex 14.1 Class 6 Maths Question 5.
Let A, B be the centres of the two circles of equal radii. Draw them so that each one of them passes through the centre of the other. Let them intersect at C and D.
Examine whether AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are at right angles.
Solution:
NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry
In the given figure two circles of equal radii intersect each other at C and D on measuring, we see that AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ intersect each other at right angles.

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.1 Q1

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.1 Q2

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.1 Q3

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.1 Q4

NCERT Solutions For Class 6 Maths Chapter 14 Practical Geometry Ex 14.1 Q5

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

 

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1

Exercise 13.1

Ex 13.1 Class 6 Maths Question 1.
List any four symmetrical objects from your home or school.
Solution:
The following objects can be symmetrical:
(a) Notebook
(b) Dinning table
(c) A blackboard
(d) Wall clock
(e) A pair of scissors

Ex 13.1 Class 6 Maths Question 2.
For the given figure, which one is the mirror line, l1 or l2?
Solution:
In the following figure, l2 is the mirror line.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.1 Class 6 Maths Question 3.
Identify the shapes given below. Check whether they are symmetrical or not. Draw the line of symmetry as well.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
(a) The given symmetric figure is a lock in which vertical line ‘l’ is the line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
(b) The given figure is a symmetrical bucket in which vertical line ‘l’ is the line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(c) The given figure is not symmetrical.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(d) The given figure is a symmetric telephone in which vertical line l is called the line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(e) The given figure is symmetrical. Horizontal line l is called the line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

(f) The given figure is symmetrical. Vertical line l is called its line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.1 Class 6 Maths Question 4.
Copy the following on a squared paper. A square paper is what you would have used in your arithmetic notebook is earlier classes. Then complete them such that the dotted line is the line of symmetry.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.1 Class 6 Maths Question 5.
In the figure, l is the line of symmetry. Complete the diagram to make it symmetric.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
The completed figure is as follows:
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

Ex 13.1 Class 6 Maths Question 6.
In the figure, l is the line of symmetry. Draw the image of the triangle and complete the diagram so that it becomes symmetric.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry
Solution:
The symmetric figure is given as follows.
NCERT Solutions For Class 6 Maths Chapter 13 Symmetry

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q1

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q2

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q3

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q4

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q5

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q6

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q7

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q8

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q9

NCERT Solutions For Class 6 Maths Chapter 13 Symmetry Ex 13.1 Q10

JEE Main Application Fee

JEE Main Application Fees For Centres in IndiaGeneral/OBCST/SC/PWD
Either Paper I or Paper IIBoysRs. 1000Rs. 500
GirlsRs. 500Rs. 500
Both Paper I or Paper IIBoysRs. 1800Rs. 900
GirlsRs. 900Rs. 900
JEE Main Application Fees For Centres in Foreign CountryGeneral/OBCST/SC/PWD
Either Paper I or Paper IIBoysRs. 2500Rs. 1250
GirlsRs. 1250Rs. 1250
Both Paper I or Paper IIBoysRs. 3800Rs. 1900
GirlsRs. 1900Rs. 1900
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